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Консультация № 136815
14.05.2008, 16:50
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Уважаемые эксперты! Помогите, пожалуйста, решить задачу по высшей математике...
Задача: Найти скалярное произведение векторов (АВ, АС) и косинус угла между этими векторами. Обосновать сделанные вычисления, проанализировать результат.
А(7,0,2); В(7,1,3); С(8,-2,1)
Добавляйте коментарии к вычеслениям...
Заранее спасибо...
Задача: Найти скалярное произведение векторов (АВ, АС) и косинус угла между этими векторами. Обосновать сделанные вычисления, проанализировать результат.
А(7,0,2); В(7,1,3); С(8,-2,1)
Добавляйте коментарии к вычеслениям...
Заранее спасибо...
Обсуждение
Неизвестный
14.05.2008, 17:05
общий
это ответ
Здравствуйте, Umanskiy!
Найдем координаты АВ{0; 1; 1}. Найдем координаты АС{1; -2; -1}
Найдем скалярное произведение
0*1 - 1*2 - 1*1 = -3
cosa = -3/[√(1^2 +(-2)^2 + (-1)^2)*√(0^2 + 1^2 + 1^2)] = -3/√(6*2) = -3/2√3
Анализируем результат: скалярное произведение отрицательно, значит угол между векторами тупой.
Найдем координаты АВ{0; 1; 1}. Найдем координаты АС{1; -2; -1}
Найдем скалярное произведение
0*1 - 1*2 - 1*1 = -3
cosa = -3/[√(1^2 +(-2)^2 + (-1)^2)*√(0^2 + 1^2 + 1^2)] = -3/√(6*2) = -3/2√3
Анализируем результат: скалярное произведение отрицательно, значит угол между векторами тупой.
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